Question

Question 4 Unsaved A solid sphere starts from rest at a height 1.7 m above the...

Question 4 Unsaved A solid sphere starts from rest at a height 1.7 m above the base of an inclined plane and rolls down under the influence of gravity. What is the linear speed of the sphere's center of mass just as the sphere leaves the incline and rolls onto the horizontal surface? (Neglect friction.)

Homework Answers

Answer #1

we are looking for linear velocity, v
and we have
PE at top = linear KE + rotational KE at the bottom

where inertia of a solid sphere I is

while



by cancel and combining terms giving




If someone gives you a good response,
please consider giving a best answer.
This is the only reward we get.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A uniform, solid sphere of radius 3.00 cm and mass 2.00 kg starts with a purely...
A uniform, solid sphere of radius 3.00 cm and mass 2.00 kg starts with a purely translational speed of 1.25 m/s at the top of an inclined plane. The surface of the incline is 1.00 m long, and is tilted at an angle of 25.0 ∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed v 2 at the bottom of the ramp.
A uniform, solid sphere of radius 4.50 cm and mass 2.25 kg starts with a purely...
A uniform, solid sphere of radius 4.50 cm and mass 2.25 kg starts with a purely translational speed of 1.25 m/s at the top of an inclined plane. The surface of the incline is 2.75 m long, and is tilted at an angle of 22.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp. ?2=__________ m/s
A uniform, solid sphere of radius 3.50 cm and mass 1.25 kg starts with a purely...
A uniform, solid sphere of radius 3.50 cm and mass 1.25 kg starts with a purely translational speed of 2.50 m/s at the top of an inclined plane. The surface of the incline is 1.50 m long, and is tilted at an angle of 28.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp. ?2= m/s
A solid sphere of a radius 0.2 m is released from rest from a height of...
A solid sphere of a radius 0.2 m is released from rest from a height of 2.0 m and rolls down the incline as shown. If the initial speed Vi= 5 m/s, calculate the speed (Vf) of the sphere when it reaches the horizontal surface. (moment of inertia of a sphere is (2/5) Mr^)
A solid cylinder starts from rest at the top of an incline of height h =...
A solid cylinder starts from rest at the top of an incline of height h = 0.7 m and rolls down without slipping. Ignoring friction, determine the speed at the bottom of the incline. Draw and label a figure.
A uniform, solid sphere of radius 5.75 cm 5.75 cm and mass 3.25 kg 3.25 kg...
A uniform, solid sphere of radius 5.75 cm 5.75 cm and mass 3.25 kg 3.25 kg starts with a purely translational speed of 1.25 m/s 1.25 m/s at the top of an inclined plane. The surface of the incline is 2.25 m 2.25 m long, and is tilted at an angle of 29.0 ∘ 29.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ? 2 v2 at the...
A sphere of mass M, radius r, and rotational inertia I is released from rest at...
A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h as shown above. (diagram not shown) If the plane has friction so that the sphere rolls without slipping, what is the speed vcm of the center of mass at the bottom of the incline?
1. A solid sphere of mass 50 kg rolls without slipping. If the center-of-mass of the...
1. A solid sphere of mass 50 kg rolls without slipping. If the center-of-mass of the sphere has a translational speed of 4.0 m/s, the total kinetic energy of the sphere is 2. A solid sphere (I = 0.4MR2) of radius 0.0600 m and mass 0.500 kg rolls without slipping down an inclined plane of height 1.60 m . At the bottom of the plane, the linear velocity of the center of mass of the sphere is approximately _______ m/s.
A uniform solid disk of mass 2.20 kg and diameter 50.0 cm starts from rest and...
A uniform solid disk of mass 2.20 kg and diameter 50.0 cm starts from rest and rolls without slipping down a 30.0 ? incline that is 5.25 m long. g = 9.81 m/s2 . (a) Calculate the linear speed of the center of the disk when it reaches the bottom of the incline. (b) Determine the angular speed of the disk about its center at the bottom of the incline. (c) Through what angle (in radians) does this disk turn...
A uniform solid disk of mass 3.60 kg and diameter 45.0 cm starts from rest and...
A uniform solid disk of mass 3.60 kg and diameter 45.0 cm starts from rest and rolls without slipping down a 39.0 ? incline that is 6.25 m long.  g = 9.81 m/s2 . (a) Calculate the linear speed of the center of the disk when it reaches the bottom of the incline. b) Determine the angular speed of the disk about its center at the bottom of the incline. c) Through what angle (in radians) does this disk turn as...